Results 11 to 20 of about 915 (49)

Stroke risk estimation across nine European countries in the MORGAM project. [PDF]

, 2010
Previous tools for stroke risk assessment have either been developed for specific populations or lack data on non-fatal events or uniform data collection.
A. Borglykke, A. H. Andreasen, D. Vanuzzo, H. Tunstall-Pedoe, J. Karvanen, K. Kuulasmaa, L. Palmieri, M. M. Ferrario, M. O. R. G. A. M. Project, P. Ducimeti\ue8re, S. Sans, T. J\uf8rgensen   +11 more
core   +3 more sources

Jucys-Murphy elements and Weingarten matrices [PDF]

, 2010
We provide a compact proof of the recent formula of Collins and Matsumoto for the Weingarten matrix of the orthogonal group using Jucys-Murphy elements.Comment: v2: added a ...
Zinn-Justin, P.
core   +1 more source

A Spin Analogue of Kerov Polynomials [PDF]

, 2018
Kerov polynomials describe normalized irreducible characters of the symmetric groups in terms of the free cumulants associated with Young diagrams.
Matsumoto, Sho
core   +3 more sources

Some Combinatorial Properties of Hook Lengths, Contents, and Parts of Partitions [PDF]

, 2009
This paper proves a generalization of a conjecture of Guoniu Han, inspired originally by an identity of Nekrasov and Okounkov. The main result states that certain sums over partitions p of n, involving symmetric functions of the squares of the hook ...
A. Lascoux, G. Andrews, J.S. Frame, N.A. Nekrasov, P.J. Hanlon, R. Stanley, Richard P. Stanley, S. Fujii   +7 more
core   +2 more sources

Comparison of Gelfand-Tsetlin Bases for Alternating and Symmetric Groups [PDF]

, 2017
Young's orthogonal basis is a classical basis for an irreducible representation of a symmetric group. This basis happens to be a Gelfand-Tsetlin basis for the chain of symmetric groups. It is well-known that the chain of alternating groups, just like the
Geetha, T., Prasad, Amritanshu
core   +1 more source

A note on the Grothendieck ring of the symmetric group [PDF]

, 2005
Let $p$ be a prime number and let $n$ be a non-zero natural number. We compute the descending Loewy series of the algebra $R\_n/pR\_n$, where $R\_n$ denotes the ring of virtual ordinary characters of the symmetric group $S\_n$.Comment: 5 ...
Bonnafé, Cédric
core   +5 more sources

Increasing subsequences, matrix loci and Viennot shadows

Forum of Mathematics, Sigma
Let ${\mathbf {x}}_{n \times n}$ be an $n \times n$ matrix of variables, and let ${\mathbb {F}}[{\mathbf {x}}_{n \times n}]$ be the polynomial ring in these variables over a field ${\mathbb {F}}$ .
Brendon Rhoades
doaj   +1 more source

DUAL EQUIVALENCE GRAPHS I: A NEW PARADIGM FOR SCHUR POSITIVITY

Forum of Mathematics, Sigma, 2015
We make a systematic study of a new combinatorial construction called a dual equivalence graph. We axiomatize these graphs and prove that their generating functions are symmetric and Schur positive.
SAMI H. ASSAF
doaj   +1 more source

The flush statistic on semistandard Young tableaux [PDF]

, 2014
In this note, a statistic on Young tableaux is defined which encodes data needed for the Casselman-Shalika formula.Comment: 6 ...
Salisbury, Ben
core   +4 more sources

Delta and Theta Operator Expansions

Forum of Mathematics, Sigma
We give an elementary symmetric function expansion for the expressions $M\Delta _{m_\gamma e_1}\Pi e_\lambda ^{\ast }$ and $M\Delta _{m_\gamma e_1}\Pi s_\lambda ^{\ast }$ when $t=1$ in terms of what we call $\gamma $ -parking ...
Alessandro Iraci, Marino Romero
doaj   +1 more source